Question

Write the equation in logarithmic form.
8^−1 = 1/8

Answer 1

`\log _8\left((1)/(8)\right)=-1`

Explanation:

`{\huge{\boxed{\mathbb{QUESTION}}}`

Write the equation in logarithmic form.

`8^(-1)=(1)/(8)`

Definition of logarithmic form

⇒
`a^n=b\quad \Rightarrow \quad \log _ab=n`

___________________________

• 
  `a=8`
• 
  `b=(1)/(8)`
• 
  `n=-1`

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Plug in the values

`8^(-1)=(1)/(8) \quad \Rightarrow \quad \log _8(1)/(8) =-1`

`{\huge{\boxed{\mathbb{ANSWER}}}`

`\quad \log _8((1)/(8)) =-1`